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Simplifying 5r + 29 = 4(3r + 2) Reorder the terms: 29 + 5r = 4(3r + 2) Reorder the terms: 29 + 5r = 4(2 + 3r) 29 + 5r = (2 * 4 + 3r * 4) 29 + 5r = (8 + 12r) Solving 29 + 5r = 8 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 29 + 5r + -12r = 8 + 12r + -12r Combine like terms: 5r + -12r = -7r 29 + -7r = 8 + 12r + -12r Combine like terms: 12r + -12r = 0 29 + -7r = 8 + 0 29 + -7r = 8 Add '-29' to each side of the equation. 29 + -29 + -7r = 8 + -29 Combine like terms: 29 + -29 = 0 0 + -7r = 8 + -29 -7r = 8 + -29 Combine like terms: 8 + -29 = -21 -7r = -21 Divide each side by '-7'. r = 3 Simplifying r = 3
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